36743625360 has 240 divisors, whose sum is σ = 133024954608. Its totient is φ = 9035366400.

The previous prime is 36743625353. The next prime is 36743625377. The reversal of 36743625360 is 6352634763.

36743625360 is a `hidden beast` number, since 367 + 4 + 36 + 253 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 302342544 + 36441282816 = 17388^2 + 190896^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16107420 + ... + 16109700.

Almost surely, 2^36743625360 is an apocalyptic number.

36743625360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36743625360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66512477304).

36743625360 is an abundant number, since it is smaller than the sum of its proper divisors (96281329248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36743625360 is a wasteful number, since it uses less digits than its factorization.

36743625360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 36743625360 in words is "thirty-six billion, seven hundred forty-three million, six hundred twenty-five thousand, three hundred sixty".